Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming

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	Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming
	Song, Ruizhuo 1; Wei, Qinglai2 ; Sun, Qiuye 3; Qinglai Wei
发表期刊	NEUROCOMPUTING
	2015-05-25
卷号	156 期号:x 页码:166-175
文章类型	Article
摘要	In this paper, a novel adaptive dynamic programming (ADP) algorithm is developed to solve the nearly optimal finite-horizon control problem for a class of deterministic nonaffine nonlinear time-delay systems. The idea is to use ADP technique to obtain the nearly optimal control which makes the optimal performance index function close to the greatest lower bound of all performance index functions within finite time. The proposed algorithm contains two cases with respective different initial iterations. In the first case, there exists control policy which makes arbitrary state of the system reach to zero in one time step. In the second case, there exists a control sequence which makes the system reach to zero in multiple time steps. The state updating is used to determine the optimal state. Convergence analysis of the performance index function is given. Furthermore, the relationship between the iteration steps and the length of the control sequence is presented. Two neural networks are used to approximate the performance index function and compute the optimal control policy for facilitating the implementation of ADP iteration algorithm. At last, two examples are used to demonstrate the effectiveness of the proposed ADP iteration algorithm. (C) 2014 Elsevier B.V. All rights reserved.
关键词	Adaptive Dynamic Programming Approximate Dynamic Programming Adaptive Critic Designs Nonlinear Systems Optimal Control Time-delay
WOS标题词	Science & Technology ; Technology
关键词[WOS]	MULTIOBJECTIVE OPTIMAL-CONTROL ; MULTIPLE DELAYS ; LINEAR-SYSTEMS ; CONTROLLABILITY ; ALGORITHM
收录类别	SCI
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000351978100020
引用统计	被引频次：26[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/8124
专题	多模态人工智能系统全国重点实验室_复杂系统智能机理与平行控制团队
通讯作者	Qinglai Wei
作者单位	1.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China 3.Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China
推荐引用方式 GB/T 7714	Song, Ruizhuo,Wei, Qinglai,Sun, Qiuye,et al. Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming[J]. NEUROCOMPUTING,2015,156(x):166-175.
APA	Song, Ruizhuo,Wei, Qinglai,Sun, Qiuye,&Qinglai Wei.(2015).Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming.NEUROCOMPUTING,156(x),166-175.
MLA	Song, Ruizhuo,et al."Nearly finite-horizon optimal control for a class of nonaffine time-delay nonlinear systems based on adaptive dynamic programming".NEUROCOMPUTING 156.x(2015):166-175.

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